Operations on Rational Numbers

Express $\left(\frac{-2}{3}+\frac{1}{4}\right)÷2$ as a rational number and show that it lies between the rational numbers $\frac{-2}{3}$ and $\frac{1}{4}$. 

If $a=\frac{1}{5}, b=\frac{1}{3}$ and $c=\frac{2}{5}$, then verify that $\left(a+b\right)+c=a+\left(b+c\right)$

If $a=\frac{1}{5}, b=\frac{1}{3}$ and $c=\frac{2}{5}$, then verify that : $a\left(b+c\right)=a\times b+a\times c$

If $a=\frac{1}{5}, b=\frac{1}{3}$ and $c=\frac{2}{5}$, then verify that : $a\left(b-c\right)=a\times b-a\times c$

If $a=\frac{1}{5}, b=\frac{1}{3}$ and $c=\frac{2}{5}$, then verify that $\left(a\times b\right)\times c=a\times \left(b\times c\right)$.

Arrange $\frac{1}{2}, \frac{-3}{-4}, \frac{-2}{3}$ in descending order.

Arrange $\frac{-5}{6}, \frac{11}{12}, \frac{2}{3}$ in ascending order.

Represent the rational number $\frac{-4}{-3}$ on the number line.

Represent the rational number $\frac{-4}{3}$ on the number line.

Represent the rational number $-\frac{1}{3}$ on the number line.

Represent the rational number $\frac{1}{3}$ on the number line.

Represent the rational number $\frac{5}{-3}$ on the number line.

Represent the rational number $\frac{5}{-3}$ on the number line.

In a rational number if the numerator is less than the denominator, then the rational number is always less than $1$.

The rational number $\frac{-3}{-2}$ lies to the right of zero on the number line.

Every rational number has at most five equivalent rational numbers.

Two rational numbers with different numerators cannot be equal.

Every fraction is a rational number.

Write the positive rational number that is equal to its reciprocal.

Write the rational number that does not have a reciprocal.